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1、Predator-PreyProblemsAbstractWehaveestablishedapredator-preyunderinterferencesystemdynamicmodel,theevolutionequationsofthesystemandthecurveevolutionandtheevolutionofthephasediagram,respectivelydiscussedwithoutinterferenceandinterferenceeffectofevolutionofspecies,isillustratedbyconsideringadisturban
2、eemodelismorereasonable,butalsomoreconducivetotheevolutionofspeciesandnewspecies・Modelone:theestablishmentofamathematicalmodelofdifferentialequationmodeltodescribethepreyonrabbitsandfoxespreyecosystem,reachedasteadystatetheirfinal.Modeltwo:the5forestrelatedparametersforrabbitsandfoxes,correlationan
3、alysisbySPSSsoftwaretoachieveastateofequilibrium,thusfurtheronourmodelvalidation.Modelthree:predatorpredatorintroductiontootherforeignaidnotonlytoeatfood,butthepredatorpreyorjusteattheprey.IntroductionWewillconsideranenvironmentcontainingtworelatedpopulations—apreypopulation,suchasrabbits,andapreda
4、torpopulation,suchasfoxes.Clearly,itisreasonabletoexpectthatthetwopopulationsreactinsuchawayastoinfluenceeachother'ssize.ProblemStatementBuildamathematicalmodeltodescribethepredator-preyecologicalsystemandanalyzeitsstablestate.Pleaseconsulttherelatedliteratureanddatatocompletethesimulationcalculati
5、onofyourmathematicalmodel・Studyyourpredator-preyecologicalmodelwithalternatefoodforthepredatorandapartialcoverfortheprey.Assumptions1,thepopulationoftheactivitieswithinthescopeofnoothermajornaturaldisasters2,therabbitsinthemodelofnaturalenemiesisthefox;3,assumingtherabbitsandfoxesarerelativelyadequ
6、atefood4,ifthesamespeciesdonotcompetewithmassdeath;Model1:PredatorpreysystemmodelSimplicity,thesystemonlyrabbitsandfoxeswerediscussed.Supposeinthegrasslandsonlygrass,rabbitsandfoxes,rabbitsattimetandthefoxdensityrespectively兀("and)⑺。Iftheprairiegrassisrichinresources,therabbitfeedongrasstosurviveax
7、.x——=r.x1Growth,which人Rabbit'sgrowthrate,maximumrabbitrepresentstheenvironmentcanaccommodatethedensity.Thenconsiderthepresenceofthefox,therabbitgrowthtodrop,efficiencydecreaseddensityhypothesisdependsonrabb
